2005/04/30 by R. J. Harris, Rosemary J. Harris, A. Rákos +2 · 5 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Ansatz #Asymmetric simple exclusion process #Bethe ansatz #Computer science #Condensation #Current (fluid) #Limit (mathematics) #Materials science #Mathematical analysis #Mathematics #Physics #Process (computing) #Quantum mechanics #Range (aeronautics) #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamics #Zero (linguistics) #cond-mat.stat-mech
paper · pdf · doi:10.1088/1742-5468/2005/08/p08003
published as J. Stat. Mech. (2005) P08003 · 25 pages, 6 figures. v2: refined argument in Sec. 3, removed appendix, fixed typos + updated references. v3: some changes in wording to make clear that we consider the case of fixed initial particle configuration. To be published in Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing Ltd, http://www.iop.org
arxiv created 2005/08/01 · openalex publication_date 2005/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We discuss the long-time limit of the integrated current distribution for the one-dimensional zero-range process with open boundaries. We observe that the current fluctuations become site dependent above some critical current and argue that this is a precursor of the condensation transition which occurs in such models. Our considerations for the totally asymmetric zero-range process are complemented by a Bethe ansatz treatment for the equivalent exclusion process.